A consumer preference study involving three different bottle designs
(A,B,C) for the jumbo size of mustard was carried out using a
randomized block experimental design, with supermarkets as blocks.
Specifically, four supermarkets were supplied with all three bottle
designs, which were priced the same.  Table provides the number of
bottles of each design sold in a 24 hour period at each store. If we
use these data SST, SSB, and SSE can be calculated to be 586.1667,
421.6667, and 1.8333 respectively.
  
a.	Test the null hypothesis H  that no differences exist between the
effects of the bottle designs on mean daily sales. Set   = .05. Can we
conclude that the different bottle designs have different effects on
mean sales?
b.	Test the null hypothesis   that no differences exist between the
effects of the supermarkets on mean daily salts. Set   = .05. Can we
conclude that the different supermarkets have different effects on
mean sales?

c.	Use Tukey simultaneous 95 percent confidence intervals to make
pairwise comparisons of the bottle design effects on mean daily sales.
Which bottle design(s) maximize mean sales?

Results of a Bottle Design Experiment

			                  Supermarket, j
Bottle Design, i			1     2     3   4
A					16   14     1   6
B					33   30    19  23
C					23   21    8    12

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